Modeling and Control of the Public Opinion: An Agree-Disagree Opinion Model
Joint Authors
Bidah, Sara
Rachik, Mostafa
Zakary, Omar
Source
International Journal of Differential Equations
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-28
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this paper, we aim to investigate optimal control to a new mathematical model that describes agree-disagree opinions during polls, which we presented and analyzed in Bidah et al., 2020.
We first present the model and recall its different compartments.
We formulate the optimal control problem by supplementing our model with a objective functional.
Optimal control strategies are proposed to reduce the number of disagreeing people and the cost of interventions.
We prove the existence of solutions to the control problem, we employ Pontryagin’s maximum principle to find the necessary conditions for the existence of the optimal controls, and Runge–Kutta forward-backward sweep numerical approximation method is used to solve the optimal control system, and we perform numerical simulations using various initial conditions and parameters to investigate several scenarios.
Finally, a global sensitivity analysis is carried out based on the partial rank correlation coefficient method and the Latin hypercube sampling to study the influence of various parameters on the objective functional and to identify the most influential parameters.
American Psychological Association (APA)
Bidah, Sara& Zakary, Omar& Rachik, Mostafa. 2020. Modeling and Control of the Public Opinion: An Agree-Disagree Opinion Model. International Journal of Differential Equations،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1169946
Modern Language Association (MLA)
Bidah, Sara…[et al.]. Modeling and Control of the Public Opinion: An Agree-Disagree Opinion Model. International Journal of Differential Equations No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1169946
American Medical Association (AMA)
Bidah, Sara& Zakary, Omar& Rachik, Mostafa. Modeling and Control of the Public Opinion: An Agree-Disagree Opinion Model. International Journal of Differential Equations. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1169946
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1169946